STABILITY CONDITIONS FOR CONSENSUS FUNCTIONS DEFINED ON N-TREES

Authors
BARTHELEMY JP MCMORRIS FR POWERS RC
Citation
Jp. Barthelemy et al., STABILITY CONDITIONS FOR CONSENSUS FUNCTIONS DEFINED ON N-TREES, Mathematical and computer modelling, 22(1), 1995, pp. 79-87
Citations number
14
Categorie Soggetti
Mathematics,Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
Mathematical and computer modelling → ACNP
ISSN journal
08957177
Volume
22
Issue
1
Year of publication
1995
Pages
79 - 87
Database
ISI
SICI code
0895-7177(1995)22:1<79:SCFCFD>2.0.ZU;2-R
Abstract
Eight natural extensions of K. Arrow's ''independence of irrelevant al ternatives'' axiom (which are called ''stability'' conditions in this paper) for consensus functions on weak orders are identified for n-tre es, and the complete relationships among these eight axioms are determ ined. The behavior of consensus functions that satisfy the classical P areto condition, in addition to one of the stability axioms, is also s tudied.